% Encoding: UTF-8
@techreport{superlu_ug99,
     AUTHOR = {X.S. Li and J.W. Demmel and J.R. Gilbert and iL. Grigori and M. Shao and
          I. Yamazaki},
     INSTITUTION = {Lawrence Berkeley National Laboratory},
     NUMBER = {LBNL-44289},
     TITLE = {{SuperLU Users' Guide}},
     MONTH = {September},
     YEAR = {1999},
     NOTE = "\url{http://crd.lbl.gov/~xiaoye/SuperLU/}.
             Last update: August 2011"
}

@Article{1608436,
  author   = {Giannacopoulos, D.D. and Da Qi Ren},
  title    = {{Analysis and design of parallel 3-D mesh refinement dynamic load balancing algorithms for finite element electromagnetics with tetrahedra}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2006},
  volume   = {42},
  number   = {4},
  pages    = {1235-1238},
  month    = {April},
  issn     = {0018-9464},
  keywords = {Petri nets;computational electromagnetics;mesh generation;resource allocation;Petri nets model;discrete event simulations;dynamic load balancing;electromagnetic analysis;finite element electromagnetics;finite element method;multiprocessor architecture;parallel 3D mesh refinement;random polling algorithm;Algorithm design and analysis;Analytical models;Computational modeling;Computer architecture;Concurrent computing;Electromagnetic analysis;Finite element methods;Heuristic algorithms;Load management;Petri nets;Adaptive systems;electromagnetic analysis;finite element method (FEM);parallel processing;software methodology},
}

@ARTICLE{1608440,
author={Da Qi Ren and Giannacopoulos, D.D.},
journal={IEEE Transactions on Magnetics},
title={{Parallel mesh refinement for 3-D finite element electromagnetics with tetrahedra: Strategies
for optimizing system communication}},
year={2006},
month={April},
volume={42},
number={4},
pages={1251-1254},
keywords={Petri nets;adaptive systems;computational electromagnetics;discrete event simulation;mesh
generation;microprocessor chips;parallel processing;3D finite element electromagnetics;Petri
nets;adaptive systems;finite element methods;parallel mesh refinement;parallel
processing;Broadcasting;Computer architecture;Costs;Discrete event simulation;Electromagnetic
analysis;Finite element methods;Master-slave;Parallel processing;Petri nets;System
performance;Adaptive systems;electromagnetic analysis;finite element methods;parallel
processing;software methodology},
ISSN={0018-9464},}

@ARTICLE{4526979,
author={Da Qi Ren and Park, T. and Mirican, B. and McFee, S. and Giannacopoulos, D.D.},
journal={IEEE Transactions on Magnetics},
title={{A Methodology for Performance Modeling and Simulation Validation of Parallel 3-D Finite Element Mesh Refinement With Tetrahedra}},
year={2008},
month={June},
volume={44},
number={6},
pages={1406-1409},
keywords={Petri nets;mesh generation;parallel processing;software architecture;software prototyping;error-prone task;parallel 3D finite element mesh refinement;parallel 3D unstructured mesh refinement model;parallel system architecture parameters;petri nets;runtime behavior;simulation approach;software prototype;Finite element methods;mesh generation;parallel processing;petri nets},
ISSN={0018-9464},}

@article{markall2013finite,
  title={Finite element assembly strategies on multi-core and many-core architectures},
  author={Markall, GR and Slemmer, A and Ham, DA and Kelly, PHJ and Cantwell, CD and Sherwin, SJ},
  journal={International Journal for Numerical Methods in Fluids},
  volume={71},
  number={1},
  pages={80--97},
  year={2013},
  publisher={Wiley Online Library}
}
@article{cecka2011assembly,
  title={Assembly of finite element methods on graphics processors},
  author={Cecka, Cris and Lew, Adrian J and Darve, Eric},
  journal={International journal for numerical methods in engineering},
  volume={85},
  number={5},
  pages={640--669},
  year={2011},
  publisher={Wiley Online Library}
}
@ARTICLE{106332,
author={Magele, C.A. and Preis, K. and Renhart, W.},
journal={IEEE Transactions on Magnetics},
title={{Some improvements in nonlinear 3D magnetostatics}},
year={1990},
month={Mar},
volume={26},
number={2},
pages={375-378},
keywords={electrical engineering computing;electromagnets;finite element analysis;
iterative methods;magnetostatics;C-shaped nonlinear magnet;CPU time;Newton-Raphson
method;direct iteration;inverse problem;iterative approach;nonlinear 3D magnetostatic
field;optimisation;software package;Character generation;Conducting materials;
Differential equations;Finite element methods;Magnetic materials;Magnetic separation;
Magnetostatics;Nonlinear equations;Permeability;Software packages},
ISSN={0018-9464},}

@Article{123861,
  author   = {Nakata, T. and Takahashi, N. and Fujiwara, K. and Okamoto, N. and Muramatsu, K.},
  title    = {{Improvements of convergence characteristics of Newton-Raphson method for nonlinear magnetic field analysis}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {1992},
  volume   = {28},
  number   = {2},
  pages    = {1048-1051},
  month    = {Mar},
  issn     = {0018-9464},
  keywords = {convergence of numerical methods;iterative methods;magnetic fields;3D magnetostatic model;Newton-Raphson iteration;Newton-Raphson method;convergence characteristics;nonlinear magnetic field analysis;relaxation factor;Convergence; Equations;Failure analysis;Laboratories;Magnetic analysis;Magnetic separation; Moment methods;Newton method;Nonlinear magnetics;Steel},
}

@Article{54016,
  author   = {Hoole, S.R.H. and Mahinthakumar, G.},
  title    = {{Parallelism in interactive operations in finite-element simulation}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {1990},
  volume   = {26},
  number   = {4},
  pages    = {1252-1255},
  month    = {Jul},
  issn     = {0018-9464},
  keywords = {electrical engineering computing;electromagnetic field theory;finite element analysis;interactive systems;computer routines;electromagnetic fields;equipotential plotting;finite-element simulation;interactive operations;matrix equation;node identification;parallelism;triangle identification;Assembly;Computational modeling;Computer aided instruction;Concurrent computing;Design automation;Electromagnetic fields;Equations;Finite element methods;Parallel machines;Parallel processing},
}

@Article{877691,
  author   = {Rischmuller, V. and Haas, M. and Kurz, S. and Rucker, W.M.},
  title    = {{3D transient analysis of electromechanical devices using parallel BEM coupled to FEM}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2000},
  volume   = {36},
  number   = {4},
  pages    = {1360-1363},
  month    = {Jul},
  issn     = {0018-9464},
  keywords = {boundary-elements methods;finite element analysis;iterative methods;parallel algorithms;relays;transient analysis;3D transient analysis;BEM-FEM coupling;domain decomposition;electromechanical device;electromechanical relay;iterative algorithm;numerical simulation;parallel computing;Eddy currents;Electromagnetic coupling;Electromechanical devices;Finite element methods;Matrix decomposition;Maxwell equations;Numerical models;Parallel algorithms;Relays;Transient analysis},
}
@ARTICLE{6324486,
author={Boehmer, S. and Cramer, T. and Hafner, M. and Lange, E. and Bischof, C. and Hameyer, K.},
journal={Science, Measurement Technology, IET},
title={{Numerical simulation of electrical machines by means of a hybrid parallelisation using MPI and OpenMP for finite-element method}},
year={2012},
month={September},
volume={6},
number={5},
pages={339-343},
keywords={application program interfaces;computational electromagnetics;electric machines;finite element analysis;message passing;parallel programming;power engineering computing;two-dimensional digital filters;FEM;MPI;OpenMP;application program interface;electrical machine;finite element method;hybrid parallelisation approach;iMOOSE;message passing interface;nonlinear electromagnetic problem;numerical simulation},
ISSN={1751-8822},}

@Article{6748995,
  author   = {Amestoy, P. and Buttari, A. and Joslin, G. and L'Excellent, J.-Y. and Sid-Lakhdar, M. and Weisbecker, C. and Forzan, M. and Pozza, C. and Perrin, R. and Pellissier, V.},
  title    = {{Shared-Memory Parallelism and Low-Rank Approximation Techniques Applied to Direct Solvers in FEM Simulation}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2014},
  volume   = {50},
  number   = {2},
  pages    = {517-520},
  month    = {Feb},
  issn     = {0018-9464},
  keywords = {approximation theory;electrical engineering computing;finite element analysis;induction heating;mathematics computing;matrix algebra;multiprocessing systems;parallel processing;shared memory systems;FEM simulation;induction heating;induction heating industrial applications;large size test matrices;low-rank approximation techniques;low-rank representations;multicore parallelization;parallel sparse direct solver;shared-memory multicore system;shared-memory parallelism;Approximation methods;Eddy currents;Electromagnetic heating;Linear systems;Memory management;Parallel processing;Sparse matrices;Eddy currents;FEMs;linear systems;parallel algorithms;sparse matrices},
}

@Article{6136494,
  author   = {I. Kiss and S. Gyimothy and Z. Badics and J. Pavo},
  title    = {{Parallel Realization of the Element-by-Element FEM Technique by CUDA}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2012},
  volume   = {48},
  number   = {2},
  pages    = {507-510},
  month    = {Feb},
  issn     = {0018-9464},
  keywords = {computer graphic equipment;conjugate gradient methods;coprocessors;finite element analysis;mathematics computing;matrix algebra;parallel architectures;CUDA;GPU;NVIDIA parallel computing solution;compute unified device architecture;conjugate gradient type iterative solution scheme;element-by-element FEM technique;finite element method;graphical processing units;Finite element methods;Graphics processing unit;Instruction sets;Kernel;Matrix decomposition;Sparse matrices;Vectors;CUDA;EbE FEM;GPU;parallel FEM},
}

@phdthesis{ljungkvist2017finite,
  title={{Finite Element Computations on Multicore and Graphics Processors}},
  author={Ljungkvist, Karl},
  year={2017},
  school={PhD thesis, Acta Universitatis Upsaliensis}
}

@Article{486548,
  author   = {J. Lobry and J. Trecat and C. Broche},
  title    = {{The transmission line modeling (TLM) method as a new iterative technique in nonlinear 2-D magnetostatics}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {1996},
  volume   = {32},
  number   = {2},
  pages    = {559-566},
  month    = {Mar},
  issn     = {0018-9464},
  keywords = {iterative methods;magnetostatics;transmission line theory;convergence;efficiency;execution time;iterative technique;nonlinear 2D magnetostatics;stiffness matrix;transmission line modeling;Circuits;Finite element methods;Iterative methods;Linear systems;Magnetic analysis;Magnetostatics;Nonlinear equations;Resistors;Transmission line matrix methods;Transmission lines},
}

@ARTICLE{4073845,
author={H. W. Dommel},
journal={IEEE Transactions on Power Apparatus and Systems},
title={{Digital Computer Solution of Electromagnetic Transients in Single-and Multiphase Networks}},
year={1969},
volume={PAS-88},
number={4},
pages={388-399},
keywords={Computer networks;Economic forecasting;Electromagnetic transients;Frequency;Load management;Load modeling;Power generation economics;Power system analysis computing;Power system economics;Power system transients},
ISSN={0018-9510},
month={April},}

@Article{1062812,
  author   = {J. Coulomb},
  title    = {A methodology for the determination of global electromechanical quantities from a finite element analysis and its application to the evaluation of magnetic forces, torques and stiffness},
  journal  = {IEEE Transactions on Magnetics},
  year     = {1983},
  volume   = {19},
  number   = {6},
  pages    = {2514-2519},
  month    = {Nov},
  issn     = {0018-9464},
  keywords = {FEM;Finite-element method (FEM);Magnetic forces;Motors;Rotating machines;Electromagnetic devices;Electromagnetic forces;Finite element methods;Jacobian matrices;Magnetic analysis;Magnetic devices;Magnetic forces;Magnetic levitation;Tensile stress;Torque},
}

@Article{1063232,
  author   = {J. Coulomb and G. Meunier},
  title    = {Finite element implementation of virtual work principle for magnetic or electric force and torque computation},
  journal  = {IEEE Transactions on Magnetics},
  year     = {1984},
  volume   = {20},
  number   = {5},
  pages    = {1894-1896},
  month    = {Sep},
  issn     = {0018-9464},
  keywords = {Electromagnetic forces;FEM;Finite-element method (FEM);Magnetic forces;Density measurement;Electromagnetic devices;Finite element methods;Force measurement;Magnetic devices;Magnetic fields;Magnetic flux;Magnetostatics;Rotation measurement;Torque},
}

@ARTICLE{757938,
author={A. Benhama and A. C. Williamson and A. B. J. Reece},
journal={IEE Proceedings - Electric Power Applications},
title={{Force and torque computation from 2-D and 3-D finite element field solutions}},
year={1999},
volume={146},
number={1},
pages={25-31},
keywords={Maxwell equations;coils;conductors (electric);electric actuators;finite element analysis;force;reluctance motors;tensors;torque;2-D finite element field solution;3-D finite element field solution;Coulomb virtual work method;Maxwell stress tensor;axisymmetric actuator;centroid paths;coils;force computation;parallel current carrying conductors;switched reluctance motor;torque computation},
ISSN={1350-2352},
month={Jan},}

@ARTICLE{894410,
author={A. Benhama and A. C. Williamson and A. B. J. Reece},
journal={IEE Proceedings - Electric Power Applications},
title={Virtual work approach to the computation of magnetic force distribution from finite element field solutions},
year={2000},
volume={147},
number={6},
pages={437-442},
keywords={electric actuators;finite element analysis;magnetic forces;magnetic levitation;reluctance motors;2D FE field calculation program;3D FE field calculation program;actuator;axisymmetric treatment;co-energy;constant magnetic potential;direct differentiation;finite element field solutions;force distribution;heuristic method;hollow sphere magnetic levitation;linear field problems;magnetic force distribution computation;nonlinear field problems;stored magnetic energy;switched reluctance motor;virtual displacement;virtual work approach},
ISSN={1350-2352},
month={Nov},}

@book{hogg2012fast,
  title={{A fast triangular solve on GPUs}},
  author={Hogg, JD},
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}

@article{hogg2013fast,
  title={{A fast dense triangular solve in CUDA}},
  author={Hogg, Jonathan D},
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  volume={35},
  number={3},
  pages={C303--C322},
  year={2013},
  publisher={SIAM}
}

@article{chen2016parallel,
  title={{Parallel triangular solvers on GPU}},
  author={Chen, Zhangxin and Liu, Hui and Yang, Bo},
  journal={arXiv preprint arXiv:1606.00541},
  year={2016}
}

@article{higham1995stability,
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  pages={400--413},
  year={1995},
  publisher={SIAM}
}

@inbook{saad2003iterative,
  author       = {Saad, Yousef},
  title        = {Iterative methods for sparse linear systems},
  chapter      = 11,
  pages        = {386-390},
  publisher    = {SIAM},
  year         = 2003,
  edition      = 2,
  address = {Philadelphia, PA, USA}
}
@InBook{jinjianming,
  chapter   = {4},
  pages     = {119-121},
  title     = {The finite element method in electromagnetics},
  publisher = {John Wiley \& Sons},
  year      = {2002},
  author    = {Jin, Jian-Ming},
  edition   = {2},
}
@article{polycarpou2005introduction,
  title={Introduction to the finite element method in electromagnetics},
  author={Polycarpou, Anastasis C},
  journal={Synthesis Lectures on Computational Electromagnetics},
  volume={1},
  number={1},
  pages={1--126},
  year={2005},
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}
@ARTICLE{5269718,
author={P. B. Johns and M. O'Brien},
journal={Radio and Electronic Engineer},
title={Use of the transmission-line modelling (t.l.m.) method to solve non-linear lumped networks},
year={1980},
volume={50},
number={1.2},
pages={59-70},
ISSN={0033-7722},
month={January},}
@Article{1284654,
  author   = {A. M. Knight},
  title    = {Efficient parallel solution of time-stepped multislice eddy-current induction motor models},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2004},
  volume   = {40},
  number   = {2},
  pages    = {1282-1285},
  month    = {March},
  issn     = {0018-9464},
  doi      = {10.1109/TMAG.2004.824535},
  keywords = {digital simulation;eddy currents;finite element analysis;induction motors;machine theory;parallel processing;domain decomposition;field-circuit equations;finite-element analysis;induction motor models;motor performance;multislice two-dimensional eddy current;nonlinear material properties;parallel computation;simulation;skewed induction motors modeling;time-stepped multislice eddy-current;transmission line modeling;Circuit simulation;Computational modeling;Conductors;Coupling circuits;Finite element methods;Induction motors;Nonlinear equations;Rotors;Transmission line matrix methods;Voltage},
}

@Article{1211178,
  author   = {A. M. Knight},
  title    = {Time-stepped eddy-current analysis of induction machines with transmission line modeling and domain decomposition},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2003},
  volume   = {39},
  number   = {4},
  pages    = {2030-2035},
  month    = {July},
  issn     = {0018-9464},
  doi      = {10.1109/TMAG.2003.812707},
  keywords = {asynchronous machines;eddy currents;finite element analysis;machine theory;transmission line matrix methods;FEM;TLM method;direct solver;domain decomposition;dynamic conditions;induction machines;nonlinear field equations;simulation times;steady-state conditions;stiffness matrix;time-stepped eddy-current analysis;transmission line modeling method;Circuit simulation;Computational modeling;Coupling circuits;Finite element methods;Induction machines;Induction motors;Nonlinear equations;Performance analysis;Transmission line matrix methods;Transmission lines},
}

@Article{7801056,
  author   = {W. Yang and F. Peng and V. Dinavahi},
  title    = {{Nonlinear Axisymmetric Magnetostatic Analysis for Electromagnetic Device Using TLM-Based Finite-Element Method}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2017},
  volume   = {53},
  number   = {4},
  pages    = {1-9},
  month    = {April},
  issn     = {0018-9464},
  doi      = {10.1109/TMAG.2016.2645540},
  keywords = {Newton method;electromagnetic devices;finite element analysis;magnetostatics;transmission lines;FEM iteration;Newton preconditioners;TLM;calculation accuracy;characteristic analysis;computational efficiency;cylindrical structure;electromagnetic device;equivalent finite-element network circuit model;industrial applications;nonlinear axisymmetric magnetostatic analysis;nonlinear equation solution;parallel computation;transmission line method;Computational modeling;Finite element analysis;Magnetic circuits;Magnetic separation;Magnetostatics;Time-domain analysis;Time-varying systems;Axisymmetric magnetostatic analysis;electromagnetic device;finite-element method;multi-thread;nonlinear magnetostatic;parallel processing;transmission line method (TLM)},
}

@Article{5729365,
  author   = {B. Asghari and V. Dinavahi},
  title    = {{Novel Transmission Line Modeling Method for Nonlinear Permeance Network Based Simulation of Induction Machines}},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2011},
  volume   = {47},
  number   = {8},
  pages    = {2100-2108},
  month    = {Aug},
  issn     = {0018-9464},
  doi      = {10.1109/TMAG.2011.2126049},
  keywords = {induction motors;iterative methods;nonlinear equations;nonlinear network analysis;rotors;transmission line theory;TLM algorithm;closed rotor slot induction motor;decoupled nonlinear equations;induction machines;iterative solution methods;nonlinear magnetic equations;nonlinear permeance network based machine models;nonlinear permeance network based simulation;transmission line modeling algorithm;transmission line modeling method;Equations;Mathematical model;Rotors;Stator windings;Time domain analysis;Time varying systems;Induction machine;Newton-Raphson method;iterative methods;permeance network model;transmission line theory},
}

@Article{5571028,
  author   = {B. Asghari and V. Dinavahi},
  title    = {{Real-Time Nonlinear Transient Simulation Based on Optimized Transmission Line Modeling}},
  journal  = {IEEE Transactions on Power Systems},
  year     = {2011},
  volume   = {26},
  number   = {2},
  pages    = {699-709},
  month    = {May},
  issn     = {0885-8950},
  doi      = {10.1109/TPWRS.2010.2066992},
  keywords = {Newton-Raphson method;arresters;power system transients;power transmission lines;TLM method;multiple nonlinearities;nonlinear bridge circuit;optimized transmission line modeling;real-time nonlinear transient simulation;Integrated circuit modeling;Mathematical model;Nonlinear equations;Real time systems;Time domain analysis;Time varying systems;Iterative methods;Newton-Raphson method;nonlinear circuits;power system transients;real-time systems;transmission line modeling},
}

@Article{952644,
  author   = {Chang-Hwan Im and Hong-Kyu Kim and Chang-Hwan Lee and Hyun-Kyo Jung},
  title    = {Analysis of the three-phase transformer considering the nonlinear and anisotropic properties using the transmission line modeling method and FEM},
  journal  = {IEEE Transactions on Magnetics},
  year     = {2001},
  volume   = {37},
  number   = {5},
  pages    = {3490-3493},
  month    = {Sep},
  issn     = {0018-9464},
  doi      = {10.1109/20.952644},
  keywords = {finite element analysis;magnetostatics;nonlinear systems;power transformers;topology;transformer magnetic circuits;transmission line theory;FEM;TLM method;anisotropic properties;nonlinear finite element analysis;nonlinear properties;nonlinearity;three-phase transformer;topology;transmission line modeling;Anisotropic magnetoresistance;Circuits;Convergence;Finite element methods;Magnetic analysis;Magnetic materials;Magnetostatics;Phase transformers;Power transmission lines;Topology},
}

@Article{hui1990numerical,
  author    = {Hui, SYR and Christopoulos, C},
  title     = {Numerical simulation of power circuits using transmission-line modelling},
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  volume    = {137},
  number    = {6},
  pages     = {379--384},
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}

@Article{656057,
  author   = {O. Deblecker and J. Lobry and C. Broche},
  title    = {{Use of transmission-line modelling method in FEM for solution of nonlinear eddy-current problems}},
  journal  = {IEE Proceedings - Science, Measurement and Technology},
  year     = {1998},
  volume   = {145},
  number   = {1},
  pages    = {31-38},
  month    = {Jan},
  issn     = {1350-2344},
  doi      = {10.1049/ip-smt:19981639},
  keywords = {computational complexity;eddy currents;electrical engineering computing;equivalent circuits;finite element analysis;iterative methods;time-domain analysis;transmission line matrix methods;FEM;classical Crank-Nicholson technique;equivalent network;finite element matrix;iterative scheme;node-admittance matrix;nonlinear eddy-current problems solution;nonlinear magnetodynamics;reduction in computation time;stiffness matrix;time domain;transmission-line modelling method},
}

@Comment{jabref-meta: databaseType:bibtex;}
